Abstract: A hose (1) and hollow member (2) arrangement in which the hose is fittable at its end over the hollow member. The hose (1) has an inner wall and an annular recess (3) in this wall for receiving an annular projection (10) of the hollow member, and beyond this recess (3) in the direction away from the end of the hose a lip seal (4) extending circumferentially all around the inner wall of the hose. The lip seal (4) extends away from the inner wall obliquely in the direction away from the end of the hose (1) and is disposed for engaging the end face of the hollow member (2) with a gap (9) left between opposing faces of the inner wall of the hose (1) and the lip seal (4). When assembled, a fastener (12) secured around the end portion of the hose (1) holds the hose fast against the hollow member (2).